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Finding the Third Proportional to 9,046.69 and 10,302.19

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Solution

The third proportional to 9,046.69 and 10,302.19 is: 11,731.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.69 : 10,302.19 = 10,302.19 : x
  2. Step 2: Convert to fraction form
    9,046.69/10,302.19 = 10,302.19/x
  3. Step 3: Cross multiply
    9,046.69x = 10,302.19 × 10,302.19
  4. Step 4: Simplify right side
    9,046.69x = 106,135,067.29
  5. Step 5: Solve for x
    x = 106,135,067.29/9,046.69
  6. Step 6: Final answer
    x = 11,731.93

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.